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7nadin3 [17]
2 years ago
15

A tree casts a shadow 72 feet long. at the same time, a man who is 6 feet tall casts a shadow 8 feet long. what is the height of

the tree?
Mathematics
1 answer:
gtnhenbr [62]2 years ago
3 0
The tree's height is 54 ft.
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A box has dimensions of 17 inches long.1.3 feet wide, and 8 inches high. What is the valine of the box? The formula for the volu
andreev551 [17]

convert the feet to inches so all 3 dimensions are in the same measurement

1.3 x 12 = 15.6 inches

now multiply them all

17 x 15.6 x 8 = 2121.6 cubic inches

round the answer if you need to

6 0
3 years ago
Paul has 9 soccer trophies, but only 6 will fit on his shelf. In how many different ways can he arrange 6 of the trophies on his
lina2011 [118]

Answer:

60,480

Step-by-step explanation:

To find the number of ways that Paul can arrange his trophies, we can use the permutation formula.

The permutation formula is:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

n = 9

k = 6

Now let's put them into the formula.

_{9}P_{6}=\dfrac{9!}{(9-6)!}

_{9}P_{6}=\dfrac{9!}{3!}

_{9}P_{6}=\dfrac{9!}{3!}

_{9}P_{6}=60,480

There are 60,480 different ways that Paul can arrange his trophies on the shelf.

3 0
3 years ago
Mark reads 42 pages of a book every 3/4 hour. Write an equation that models the relationships between x, the number of hours Mar
Illusion [34]

Answer:

The equation that models the relationships between x, the number of hours Mark reads, and , y the number of pages of the book he reads is:

y=56x

Step-by-step explanation:

Given:

Mark reads 42 pages every \frac{3}{4} hour.

The number of hours is given by = x

The number of pages is given by =y

The equation can be modeled as:

y=mx+b

where m represents rate of change and b represents the y-intercept or the initial value.

Rate of change ==\frac{Change\ in\ y}{Change\ in\ x}=\frac{42}{\frac{3}{4}}=42\times \frac{4}{3}=56

The initial value b=0 as Mark starts reading from 0.

So, the equation is:

y=56x

7 0
3 years ago
Si X es una variable aleatoria de tipo continuo… ¿Es posible definir el índice de asimetría de Fisher? ¿Por qué?
Nana76 [90]

Answer:

Primero, para un caso discreto, el índice de asimetría de Fisher se calcula como:

\frac{\sum(xi - M)*n_i}{N*S_x}

Donde:

xi son los i-esimos distintos valores de nuestro conjunto de datos.

M es la media

N es el numero de datos

ni es la frequencia absoluta de cada xi

Sx es la desviacion tipica

Podemos ver que en el caso discreto, escribimos el coeficiente con una sumatoria, lo cual realmente no podemos hacer para una variable continua.

Lo que si podemos hacer para una variable continua, es una integral, donde como esta vez tenemos una variable continua, podemos definir una función:

f(X) = frequencia absoluta para X.

Y escribir el coeficiente como:

\frac{\int\limits^a_b {(X - M)*f(x)} \, dx }{N*S_x}

Entonces si, es posible definir el índice.

8 0
3 years ago
The ratio of boys to girls in the sixth grade is 2:3. If there are 24 boys, how many girls are there?
Yuri [45]
36 girls because 24/2=12 and 12•3=36
4 0
3 years ago
Read 2 more answers
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